21-7x=-5(6-8x)+4x

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Solution for 21-7x=-5(6-8x)+4x equation:


Simplifying
21 + -7x = -5(6 + -8x) + 4x
21 + -7x = (6 * -5 + -8x * -5) + 4x
21 + -7x = (-30 + 40x) + 4x

Combine like terms: 40x + 4x = 44x
21 + -7x = -30 + 44x

Solving
21 + -7x = -30 + 44x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-44x' to each side of the equation.
21 + -7x + -44x = -30 + 44x + -44x

Combine like terms: -7x + -44x = -51x
21 + -51x = -30 + 44x + -44x

Combine like terms: 44x + -44x = 0
21 + -51x = -30 + 0
21 + -51x = -30

Add '-21' to each side of the equation.
21 + -21 + -51x = -30 + -21

Combine like terms: 21 + -21 = 0
0 + -51x = -30 + -21
-51x = -30 + -21

Combine like terms: -30 + -21 = -51
-51x = -51

Divide each side by '-51'.
x = 1

Simplifying
x = 1

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